The table below shows the amount of money, in cents, celine had in her savings account after different number of years: years 2 5 1 4 6 3 money in cents 36 972 12 324 2,916 108 what will be the amount of money, in cents, that celine will save in 12 years?

Hence, Celine will save 2125764 cents in 12 years.

Step-by-step explanation:

We are given a set of values or table of values  as:

Years          1             2           3           4           5               6

Money       12           36        108        324      972         2,916

Hence, we could clearly see that the money is increasing as a multiple of 3 as compared to money in the previous year.

i.e in 1'st year it is 12 cents.

In second year it is:

12×3=36 cents.

in third year it is:

36×3=108 cents

and so on.

Let denote the money in the nth year.

So, the relation is given by:

Hence, the money that Celine will save in 12 years is given by:

Hence, Celine will save 2125764 cents in 12 years.

a - base

b - exponent

so,